A counterexample to Gouvêa's Dimension Conjecture

Details A counterexample to Gouvêa's Dimension Conjecture A counterexample to Gouvêa's Dimension Conjecture

2012-03-20

arxiv.org/abs/1203.4363v1

Mathematics

Number Theory

Scientific paper

In this note we provide a counterexample to a conjecture due to F. Gouv\^ea,
which says that the Krull dimension of the universal deformation ring - as
defined by B. Mazur - associated to an absolutely irreducible residual
representation could be expressed by the dimension of the group cohomology of
the adjoint representation.

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